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141463140 = 223571321993
BaseRepresentation
bin10000110111010…
…00111001100100
3100212012001221120
420123220321210
5242203310030
622012013540
73335262660
oct1033507144
9325161846
10141463140
1172941395
123b4612b0
1323400300
1414b058a0
15c645010
hex86e8e64

141463140 has 144 divisors (see below), whose sum is σ = 490428288. Its totient is φ = 29832192.

The previous prime is 141463117. The next prime is 141463159. The reversal of 141463140 is 41364141.

141463140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141463140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69984 + ... + 71976.

It is an arithmetic number, because the mean of its divisors is an integer number (3405752).

Almost surely, 2141463140 is an apocalyptic number.

141463140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141463140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245214144).

141463140 is an abundant number, since it is smaller than the sum of its proper divisors (348965148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141463140 is a wasteful number, since it uses less digits than its factorization.

141463140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 141463140 is about 11893.8278110960. The cubic root of 141463140 is about 521.0520368054.

The spelling of 141463140 in words is "one hundred forty-one million, four hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 195 210 260 273 338 364 390 420 455 507 546 676 780 845 910 1014 1092 1183 1365 1690 1820 1993 2028 2366 2535 2730 3380 3549 3986 4732 5070 5460 5915 5979 7098 7972 9965 10140 11830 11958 13951 14196 17745 19930 23660 23916 25909 27902 29895 35490 39860 41853 51818 55804 59790 69755 70980 77727 83706 103636 119580 129545 139510 155454 167412 181363 209265 259090 279020 310908 336817 362726 388635 418530 518180 544089 673634 725452 777270 837060 906815 1010451 1088178 1347268 1554540 1684085 1813630 2020902 2176356 2357719 2720445 3368170 3627260 4041804 4715438 5052255 5440890 6736340 7073157 9430876 10104510 10881780 11788595 14146314 20209020 23577190 28292628 35365785 47154380 70731570 141463140